-4x+5=3(2-x)

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Solution for -4x+5=3(2-x) equation:


Simplifying
-4x + 5 = 3(2 + -1x)

Reorder the terms:
5 + -4x = 3(2 + -1x)
5 + -4x = (2 * 3 + -1x * 3)
5 + -4x = (6 + -3x)

Solving
5 + -4x = 6 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
5 + -4x + 3x = 6 + -3x + 3x

Combine like terms: -4x + 3x = -1x
5 + -1x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
5 + -1x = 6 + 0
5 + -1x = 6

Add '-5' to each side of the equation.
5 + -5 + -1x = 6 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 6 + -5
-1x = 6 + -5

Combine like terms: 6 + -5 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

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